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w = [-100:100]*pi/100; % frequency between -pi and +pi N = 5; X1 = sin((w+eps)*N/2)./sin((w+eps)/2); N = 15; X2 = sin((w+eps)*N/2)./sin((w+eps)/2); N = 25; X3 = sin((w+eps)*N/2)./sin((w+eps)/2);

w = [0:1:500]*pi/500; % [0, pi] axis divided into 501 points. X = exp(j*w) ./ (exp(j*w) - 0.5*ones(1,501)); magX = abs(X); angX = angle(X); realX = real(X); imagX = imag(X); subplot(2,2,1); plot(

% Chapter 3: Example 3.4: % DTFT of finite duration seq using mat-vec operation % n = -1:3; x = 1:5; % sequence x(n) k = 0:500; w = (pi/500)*k; % [0, pi] axis divided in

subplot(1,1,1) n = -5:5; x = (-0.9).^n; k = -200:200; w = (pi/100)*k; X = x * (exp(-j*pi/100)) .^ (n'*k); magX = abs(X); angX =angle(X); subplot(2,1,1); plot(w/pi,magX);grid axis([-2,2,0,15]) x

n = -5:10; x = rand(1,length(n)) + j*rand(1,length(n)); k = -100:100; w = (pi/100)*k; % frequency between -pi and +pi X = x * (exp(-j*pi/100)).^(n'*k); % DTFT of x % conjugation property

% Chapter 8: Example 8.29 % Elliptic Bandpass Filter Design: % Use of the ELLIP function % % Digital Filter Specifications: % Type: Elliptic Bandpass ws = [0.3*pi

% Chapter 8: Example 8.11 % Impulse Invariance Transformation % Butterworth Lowpass Filter Design % % Digital Filter Specifications: wp = 0.2*pi;

% Chapter 8: Example 8.14 % Impulse Invariance Transformation % Elliptic Lowpass Filter Design % % Digital Filter Specifications: wp = 0.2*pi;

% Chapter 8: Example 8.28 % Chebyshev-1 Highpass Filter Design: % Use of the CHEBY1 function % % Digital Filter Specifications: % Type: Chebyshev-I highpass ws =

% Chapter 8: Example 8.13 % Impulse Invariance Transformation % Chebyshev-2 Lowpass Filter Design % % Digital Filter Specifications: wp = 0.2*pi;